Article
Expected values of parameters associated with the minimum rank of a graph
Linear Algebra and its Applications
Document Type
Article
Disciplines
Publication Version
Accepted Manuscript
Publication Date
7-1-2010
DOI
10.1016/j.laa.2010.01.036
Abstract
We investigate the expected value of various graph parameters associated with the minimum rank of a graph, including minimum rank/maximum nullity and related Colin de Verdière-type parameters. Let G(v,p) denote the usual Erdős-Rényi random graph on v vertices with edge probability p. We obtain bounds for the expected value of the random variables mr(G(v,p)), M(G(v,p)), ν(G(v,p)) and ξ(G(v,p)), which yield bounds on the average values of these parameters over all labeled graphs of order v.
Rights
This manuscript version is made available under the CCBY-
NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Copyright Owner
Elsevier Inc.
Copyright Date
2010
Language
en
File Format
application/pdf
Citation Information
H. Tracy Hall, Leslie Hogben, Ryan R. Martin and Bryan Shader. "Expected values of parameters associated with the minimum rank of a graph" Linear Algebra and its Applications Vol. 433 (2010) Available at: http://works.bepress.com/leslie-hogben/45/
This is a manuscript of an article from Linear Algebra and its Applications 433 (2010): 401, doi:10.1016/j.laa.2010.01.036. Posted with permission.